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Analytic scaling solutions for cosmic domain walls
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A relativistic generalisation of a well-known method for approximating the dynamics of topological defects in condensed matter is constructed, and applied to the evolution of domain walls in a cosmological context. It is shown that there are self-similar ``scaling'' solutions, for which one can in principle calculate many quantities of interest without recourse to numerical simulations. Here, the area density in the scaling regime is calculated in various backgrounds. Remarkably good agreement with numerical simulations is obtained.
Forward citations
Cited by 6 Pith papers
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DW-genesis: baryon number from domain wall network collapse
Collapsing axionic domain walls can produce the baryon asymmetry via spontaneous baryogenesis, with a maximum yield set by the annihilation temperature, but minimal post-inflationary realisations suffer a suppression ...
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Domain walls through different cosmologies
Domain-wall network area scales as S ≈ 2ξV/τ with ξ≈1.2 across cosmologies from dust to near-Minkowski, so the particle horizon—not H⁻¹—sets the correlation length and GW peak.
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Biased Domain Wall Networks and their Gravitational Waves
Population-biased domain wall networks annihilate at T_ann ~ T_s B_s^0.8 and emit a single-broken-power-law gravitational-wave spectrum peaking near twice the Hubble scale.
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Dynamical criterion for biased domain-wall formation
Derives dynamical criterion for biased domain wall formation by evaluating p_fv at freeze-out temperature T_fo, producing stricter condition than conventional static threshold and consistency condition T_fo > T_ann.
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Collapsing domain walls with $\mathbb{Z}_2$-violating coupling to thermalized fermions and their impact on gravitational wave detections
Thermal corrections from a Z2-violating Yukawa coupling alter domain-wall annihilation temperatures and can change predicted gravitational wave spectra by orders of magnitude.
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DW-genesis: generating the baryon number from domain walls
Axionic domain walls coupled to lepton number can generate the baryon asymmetry through spontaneous baryogenesis at collapse, but the associated gravitational wave signal is too faint for planned detectors.
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